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Find the domain of the function f(x) = 6x/3x - 2?
  1. R - {2/3}
  2. R - {3/2}
  3. R - {-2/3}
  4. None of these
Explanation

Given f(x) = 6x/(3x - 2)

The denominator cannot be zero:

3x - 2 ≠ 0

3x ≠ 2

x ≠ 2/3

So, the domain of f(x) is all real numbers except x = 2/3.

The answer is R - {2/3}.

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